Answer:An initial condition is an extra bit of information about a differential equation that tells you the value of the function at a particular point. Differential equations with initial conditions are commonly called initial value problems.
The video above uses the example
{
d
y
d
x
=
cos
(
x
)
y
(
0
)
=
−
1
to illustrate a simple initial value problem. Solving the differential equation without the initial condition gives you
y
=
sin
(
x
)
+
C
.
Once you get the general solution, you can use the initial value to find a particular solution which satisfies the problem. In this case, plugging in
0
for
x
and
−
1
for
y
gives us
−
1
=
C
, meaning that the particular solution must be
y
=
sin
(
x
)
−
1
.
So the general way to solve initial value problems is: - First, find the general solution while ignoring the initial condition. - Then, use the initial condition to plug in values and find a particular solution.
Two additional things to keep in mind: First, the initial value doesn't necessarily have to just be
y
-values. Higher-order equations might have an initial value for both
y
and
y
′
, for example.
Second, an initial value problem doesn't always have a unique solution. It's possible for an initial value problem to have multiple solutions, or even no solution at all.
Explanation:
1
they were crafted in stained-glass art in religious buildings
2
puzzle games
3
motion-capture devices (e.g., Kinect, WiiMote
4
puzzle
simulation
Answer:
Maybe you don't have all the points and brainliests needed. Double check and if you actually don't, try to reload your device. If it still isn't working, there is something wrong with your device.
Explanation:
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP
Answer:
I would say b but if I'm wrong take the point back
What’s that? I never heard of it.
